Brigadier General Ilyasu Abba showed the two captured suspects and bodies of the dead to local journalists and put the weapons on display at the military barracks in Kano, Nigeria`s second biggest city.
They included several pistols and AK-47 assault rifles, ammunition and police body armour, seized after Tuesday`s shootout.
Boko Haram has killed hundreds of people in bomb and gun attacks since launching an uprising in 2009, mainly in the majority-Muslim north of the country. The security crisis has at times dominated Goodluck Jonathan`s presidency.
The group has said it wants to impose sharia, Islamic law, throughout the oil-rich country, which is split equally between Christians and Muslims.
The latest violence began when militants blew up a local branch of Unity Bank in the remote town of Tudunwada with a homemade bomb, then ransacked the armoury of the local police station, Abba said.
The security forces set up roadblocks and exchanged fire with the militants, killing nine and capturing two, he said.
One soldier was wounded in the fight, he said.
Jonathan and his security forces have been criticised for failing to quell the rising violence in the north.
Suspected Boko Haram militants on motorcycles opened fire on a police checkpoint in Sharada, Kano state, on Tuesday, killing a policeman and two civilians.
Nigerian authorities blamed a faction of the sect for the killing of a British and an Italian hostage two weeks ago in the northwest, but Abu Qaqa, the sect`s spokesman in Maiduguri, its heartland, has denied any Boko Haram link to those deaths.
Efforts in the past week to arrange peace talks between the government and Boko Haram failed after the government rejected a Boko Haram condition - that all its members in detention be released. (*)
Editor: Kunto Wibisono
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